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1Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Dynamic Memory Allocation:Advanced Concepts
CSci 2021: Machine Architecture and OrganizationApril 27th-29th, 2020Your instructor: Stephen McCamant
Based on slides originally by:
Randy Bryant, Dave O’Hallaron
2Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Today
Explicit free lists
Segregated free lists
Garbage collection
Memory-related perils and pitfalls
3Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Keeping Track of Free Blocks
Method 1: Implicit free list using length—links all blocks
Method 2: Explicit free list among the free blocks using pointers
Method 3: Segregated free list Different free lists for different size classes
Method 4: Blocks sorted by size Can use a balanced tree (e.g. Red-Black tree) with pointers within each
free block, and the length used as a key
5 4 26
5 4 26
4Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Explicit Free Lists
Maintain list(s) of free blocks, not all blocks The “next” free block could be anywhere
So we need to store forward/back pointers, not just sizes
Still need boundary tags for coalescing
Luckily we track only free blocks, so we can use payload area
Size
Payload andpadding
a
Size a
Size a
Size a
Next
Prev
Allocated (as before) Free
5Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Explicit Free Lists
Logically:
Physically: blocks can be in any order
A B C
4 4 4 4 66 44 4 4
Forward (next) links
Back (prev) links
A B
C
6Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Allocating From Explicit Free Lists
Before
After
= malloc(…)
(with splitting)
conceptual graphic
2
7Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing With Explicit Free Lists
Insertion policy: Where in the free list do you put a newly freed block?
LIFO (last-in-first-out) policy
Insert freed block at the beginning of the free list
Pro: simple and constant time
Con: studies suggest fragmentation is worse than address ordered
Address-ordered policy
Insert freed blocks so that free list blocks are always in address order:
addr(prev) < addr(curr) < addr(next)
Con: requires search
Pro: studies suggest fragmentation is lower than LIFO
8Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing With a LIFO Policy (Case 1)
Insert the freed block at the root of the list
free( )
Root
Root
Before
After
conceptual graphic
9Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing With a LIFO Policy (Case 2)
Splice out successor block, coalesce both memory blocks and insert the new block at the root of the list
free( )
Root
Before
Root
After
conceptual graphic
10Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing With a LIFO Policy (Case 3)
Splice out predecessor block, coalesce both memory blocks, and insert the new block at the root of the list
free( )
Root
Root
Before
After
conceptual graphic
11Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing With a LIFO Policy (Case 4)
Splice out predecessor and successor blocks, coalesce all 3 memory blocks and insert the new block at the root of the list
free( )
Root
Before
Root
After
conceptual graphic
12Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Explicit List Summary
Comparison to implicit list: Allocate is linear time in number of free blocks instead of all blocks
Much faster when most of the memory is full
Slightly more complicated allocate and free since needs to splice blocks in and out of the list
Some extra space for the links (2 extra words needed for each block)
Does this increase internal fragmentation?
Most common use of linked lists is in conjunction with segregated free lists Keep multiple linked lists of different size classes, or possibly for
different types of objects
3
13Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Keeping Track of Free Blocks
Method 1: Implicit list using length—links all blocks
Method 2: Explicit list among the free blocks using pointers
Method 3: Segregated free list Different free lists for different size classes
Method 4: Blocks sorted by size Can use a balanced tree (e.g. Red-Black tree) with pointers within each
free block, and the length used as a key
5 4 26
5 4 26
15Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Today
Explicit free lists
Segregated free lists
Garbage collection
Memory-related perils and pitfalls
16Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Segregated List (Seglist) Allocators
Each size class of blocks has its own free list
Often have separate classes for each small size
For larger sizes: One class for each two-power size
1-2
3
4
5-8
9-inf
17Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Seglist Allocator
Given an array of free lists, each one for some size class
To allocate a block of size n: Search appropriate free list for block of size m > n
If an appropriate block is found:
Split block and place fragment on appropriate list (optional)
If no block is found, try next larger class
Repeat until block is found
If no block is found: Request additional heap memory from OS (using sbrk())
Allocate block of n bytes from this new memory
Place remainder as a single free block in largest size class.
18Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Seglist Allocator (cont.)
To free a block: Coalesce and place on appropriate list
Advantages of seglist allocators Higher throughput
log time for power-of-two size classes
Better memory utilization
First-fit search of segregated free list approximates a best-fit
search of entire heap.
Extreme case: Giving each block its own size class is equivalent to
best-fit.
19Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
More Info on Allocators
D. Knuth, “The Art of Computer Programming”, 2nd edition, Addison Wesley, 1973 The classic reference on dynamic storage allocation
Wilson et al, “Dynamic Storage Allocation: A Survey and Critical Review”, Proc. 1995 Int’l Workshop on Memory Management, Kinross, Scotland, Sept, 1995.
Comprehensive survey
Available from CS:APP student site (csapp.cs.cmu.edu)
4
20Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Today
Explicit free lists
Segregated free lists
Garbage collection
Memory-related perils and pitfalls
21Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Implicit Memory Management:Garbage Collection
Garbage collection: automatic reclamation of heap-allocated storage—application never has to free
Common in many dynamic languages: Python, Ruby, Java, Perl, ML, Lisp, Mathematica
Variants (“conservative” garbage collectors) exist for C and C++ However, cannot necessarily collect all garbage
void foo() {
int *p = malloc(128);
return; /* p block is now garbage */
}
22Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Garbage Collection
How does the memory manager know when memory can be freed? In general we cannot know what is going to be used in the future since it
depends on conditionals
But we can tell that certain blocks cannot be used if there are no pointers to them
Must make certain assumptions about pointers Memory manager can distinguish pointers from non-pointers
All pointers point to the start of a block
Cannot hide pointers (e.g., by coercing them to an int, and then back again)
23Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Classical GC Algorithms
Mark-and-sweep collection (McCarthy, 1960) Does not move blocks (unless you also “compact”)
Reference counting (Collins, 1960) Does not move blocks (not discussed)
Copying collection (Minsky, 1963)
Moves blocks (not discussed)
Generational Collectors (Lieberman and Hewitt, 1983)
Collection based on lifetimes
Most allocations become garbage very soon
So focus reclamation work on zones of memory recently allocated
For more information: Jones and Lin, “Garbage Collection: Algorithms for Automatic Dynamic Memory”, John Wiley & Sons, 1996.
24Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Memory as a Graph We view memory as a directed graph
Each block is a node in the graph
Each pointer is an edge in the graph
Locations not in the heap that contain pointers into the heap are called root nodes (e.g. registers, locations on the stack, global variables)
Root nodes
Heap nodes
Not-reachable(garbage)
reachable
A node (block) is reachable if there is a path from any root to that node.
Non-reachable nodes are garbage (cannot be needed by the application)25Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Mark and Sweep Collecting
Can build on top of malloc/free package Allocate using malloc until you “run out of space”
When out of space: Use extra mark bit in the head of each block
Mark: Start at roots and set mark bit on each reachable block
Sweep: Scan all blocks and free blocks that are not marked
After mark Mark bit set
After sweep freefree
root
Before mark
Note: arrows here denote
memory refs, not free list ptrs.
5
26Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Assumptions For a Simple Implementation
Application new(n): returns pointer to new block with all locations cleared
read(b,i): read location i of block b into register
write(b,i,v): write v into location i of block b
Each block will have a header word addressed as b[-1], for a block b
Used for different purposes in different collectors
Instructions used by the Garbage Collector is_ptr(p): determines whether p is a pointer
length(b): returns the length of block b, not including the header
get_roots(): returns all the roots
27Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Mark and Sweep (cont.)
ptr mark(ptr p) {
if (!is_ptr(p)) return; // do nothing if not pointer
if (markBitSet(p)) return; // check if already marked
setMarkBit(p); // set the mark bit
for (i=0; i < length(p); i++) // call mark on all words
mark(p[i]); // in the block
return;
}
Mark using depth-first traversal of the memory graph
Sweep using lengths to find next block
ptr sweep(ptr p, ptr end) {
while (p < end) {
if markBitSet(p)
clearMarkBit();
else if (allocateBitSet(p))
free(p);
p += length(p);
} }
28Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Conservative Mark & Sweep in C
A “conservative garbage collector” for C programs is_ptr() determines if a word is a pointer by checking if it points to
an allocated block of memory (might also be an integer with same val.)
But, in C pointers can point to the middle of a block
So how to find the beginning of the block? Can use a balanced binary tree to keep track of all allocated blocks (key
is start-of-block)
Balanced-tree pointers can be stored in header (use two additional words)
Header
ptr
Head Data
Left Right
SizeLeft: smaller addressesRight: larger addresses
29Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Today
Explicit free lists
Segregated free lists
Garbage collection
Memory-related perils and pitfalls
30Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Memory-Related Perils and Pitfalls
Dereferencing bad pointers
Reading uninitialized memory
Overwriting memory
Referencing nonexistent variables
Freeing blocks multiple times
Referencing freed blocks
Failing to free blocks
31Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
C operatorsOperators Associativity() [] -> . left to right! ~ ++ -- + - * & (type) sizeof right to left* / % left to right+ - left to right<< >> left to right< <= > >= left to right== != left to right& left to right^ left to right| left to right&& left to right|| left to right?: right to left= += -= *= /= %= &= ^= != <<= >>= right to left, left to right
->, (), and [] have high precedence, with * and & just below
Unary +, -, and * have higher precedence than binary forms
Source: K&R page 53
6
32Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
C Pointer Declarations: Test Yourself!int *p
int *p[13]
int *(p[13])
int **p
int (*p)[13]
int *f()
int (*f)()
int (*(*f())[13])()
int (*(*x[3])())[5]
p is a pointer to int
p is an array[13] of pointer to int
p is an array[13] of pointer to int
p is a pointer to a pointer to an int
p is a pointer to an array[13] of int
f is a function returning a pointer to int
f is a pointer to a function returning int
f is a function returning ptr to an array[13]of pointers to functions returning int
x is an array[3] of pointers to functions returning pointers to array[5] of ints
Source: K&R Sec 5.1233Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Dereferencing Bad Pointers
The classic scanf bug
int val;
...
scanf(“%d”, val);
34Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Reading Uninitialized Memory
Assuming that heap data is initialized to zero
/* return y = Ax */
int *matvec(int **A, int *x) {
int *y = malloc(N*sizeof(int));
int i, j;
for (i=0; i<N; i++)
for (j=0; j<N; j++)
y[i] += A[i][j]*x[j];
return y;
}
35Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Overwriting Memory
Allocating the (possibly) wrong sized object
int **p;
p = malloc(N*sizeof(int));
for (i=0; i<N; i++) {
p[i] = malloc(M*sizeof(int));
}
36Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Overwriting Memory
Off-by-one error
int **p;
p = malloc(N*sizeof(int *));
for (i=0; i<=N; i++) {
p[i] = malloc(M*sizeof(int));
}
37Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Overwriting Memory Not checking the max string size
Basis for classic buffer overflow attacks
char s[8];
int i;
gets(s); /* reads “123456789” from stdin */
7
38Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Overwriting Memory
Misunderstanding pointer arithmetic
int *search(int *p, int val) {
while (*p && *p != val)
p += sizeof(int);
return p;
}
39Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Overwriting Memory
Referencing a pointer instead of the object it points to
*size-- is *(size--), you meant (*size)--
int *BinheapDelete(int **binheap, int *size) {
int *packet;
packet = binheap[0];
binheap[0] = binheap[*size - 1];
*size--;
Heapify(binheap, *size, 0);
return(packet);
}
40Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Referencing Nonexistent Variables
Forgetting that local variables disappear when a function returns
int *foo () {
int val;
return &val;
}
41Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Freeing Blocks Multiple Times
Nasty!
x = malloc(N*sizeof(int));
<manipulate x>
free(x);
y = malloc(M*sizeof(int));
<manipulate y>
free(x);
42Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Referencing Freed Blocks
Evil!
x = malloc(N*sizeof(int));
<manipulate x>
free(x);
...
y = malloc(M*sizeof(int));
for (i=0; i<M; i++)
y[i] = x[i]++;
43Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Failing to Free Blocks (Memory Leaks)
Slow, long-term killer!
foo() {
int *x = malloc(N*sizeof(int));
...
return;
}
8
44Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Failing to Free Blocks (Memory Leaks)
Freeing only part of a data structure
struct list {
int val;
struct list *next;
};
foo() {
struct list *head = malloc(sizeof(struct list));
head->val = 0;
head->next = NULL;
<create and manipulate the rest of the list>
...
free(head);
return;
}
45Bryant and O’Hallaron, Computer Systems: A Programmer’s Perspective, Third Edition
Dealing With Memory Bugs Debugger: gdb
Good for finding bad pointer dereferences
Sometimes useful for corruption: watchpoints
Hard to detect the other memory bugs
Data structure consistency checker Runs silently, prints message only on error
Use as a probe to zero in on error
Binary translator: valgrind Powerful debugging and analysis technique
Dynamically rewrites code from executable object file
Checks each individual reference at runtime
Bad pointers, overwrites, refs outside of allocated block
glibc malloc contains checking code setenv MALLOC_CHECK_ 3